Title :
The Nonsingularity on the Symmetric r-Circulant Matrices
Author_Institution :
Sch. of Electr. & Electron. Eng., Shandong Univ. of Technol., Zibo, China
Abstract :
Circulant matrix is important since it is an active research field of applied mathematic and computation mathematic increasingly. R-circulant matrices have applied in numerical computation, signal processing, coding theory and oil investigation in recent years, and so on. In this paper, motivated by Zhaolin Jiang (1995), we give some discriminations by using only the elements in the first row of the r-circulant matrix in the diagonal matrix on non singularity, and give two examples at last.
Keywords :
matrix algebra; applied mathematics; computation mathematics; diagonal matrix; inverse matrix; nonsingularity; symmetric r-circulant matrix; Active matrix technology; Chromium; Codes; Computer security; Digital images; Digital signal processing; Mathematics; Radio access networks; Signal processing; Symmetric matrices; inverse matrix; non singularity; r-circulant matrix; singularity;
Conference_Titel :
Computer and Communications Security, 2009. ICCCS '09. International Conference on
Conference_Location :
Hong Kong
Print_ISBN :
978-0-7695-3906-5
Electronic_ISBN :
978-1-4244-5408-2
DOI :
10.1109/ICCCS.2009.33
